Implications of CP invariants for flavoured hybrid neutrino mass matrix

TL;DR

This paper re-examines weak basis invariants related to CP violation in neutrino mass matrices, identifying conditions for CP invariance under specific assumptions and discussing their experimental feasibility.

Contribution

It provides necessary and sufficient conditions for CP invariance in flavoured neutrino mass models with two-zero textures and element equalities.

Findings

Conditions for CP invariance are derived for specific neutrino mass matrix textures.

The analysis confirms the experimental feasibility of certain CP invariance conditions.

Implications for neutrino physics and CP violation are discussed.

Abstract

In the present paper, I have re-examined the weak basis invariants at low energies, proposed by C. Jarlskog and Branco et. al, respectively, in their earlier analyses, after confronting them with the assumptions of two zeros and an equality between arbitrary non-zero elements in the Majorana neutrino mass matrix in the flavoured basis. This particular conjecture is found to be experimentally feasible as shown by S. Dev and D. Raj in their recent work. The present analysis attempts to find the necessary and sufficient condition for CP invariance for each experimentally viable ans\"atz, pertaining to the model along with some important implications.